312367968 has 192 divisors, whose sum is σ = 1037836800. Its totient is φ = 90478080.

The previous prime is 312367967. The next prime is 312368009. The reversal of 312367968 is 869763213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312367967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217878 + ... + 219306.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^312367968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312367968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518918400).

312367968 is an abundant number, since it is smaller than the sum of its proper divisors (725468832).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

312367968 is a wasteful number, since it uses less digits than its factorization.

312367968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1468 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 312367968 is about 17673.9347062277. The cubic root of 312367968 is about 678.5088200228.

It can be divided in two parts, 31236 and 7968, that added together give a square (39204 = 198²).

The spelling of 312367968 in words is "three hundred twelve million, three hundred sixty-seven thousand, nine hundred sixty-eight".